CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Feb. 12, 2025 by Teachoo
Transcript
Question 33 – Part 2 Prove that the lengths of tangents drawn from an external point to a circle are equal. Using above result, find the length BC of 𝛥ABC. Given that, a circle is inscribed in 𝛥ABC touching the sides AB, BC and CA at R, P and Q respectively and AB= 10 cm, AQ= 7cm ,CQ= 5cm. From theorem 10.2, Lengths of tangents drawn from external point are equal Hence, AR = AQ = 7 cm CP = CQ = 5 cm BP = BR Since AB = 10 cm, and AR = 7 cm, ∴ BR = 3 cm Thus, BP = BR = 3 cm Now, BC = BP + CP = 3 + 5 = 8 cm
